2025/06/09 by Shaykin Dmitriy, Dmitriy, Shaykin
Physics and Astronomy · #FOS: Physical sciences #Nonlinear Photonic Systems #Pattern Formation and Solitons (nlin.PS) #Photorefractive and Nonlinear Optics #Quantum Mechanics and Non-Hermitian Physics
paper · pdf · doi:10.48550/arxiv.2506.07901
openalex publication_date 2025/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Two types of soliton solutions are analytically considered in a rhombic onedimensional lattice: transverse (discrete) solitons and longitudinal solitons. Based on the multi-scale method, longitudinal solitons are obtained as envelopes of wave packets outside the forbidden gap, on the gap and under the gap. A discrete soliton was obtained based on a wave packet from the center of the Brillouin zone. The numerical calculations are in good agreement with the analytical predictions.